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This article develops a disturbance rejection control strategy using partial-state feedback model reference adaptive control for discrete-time uncertain systems with unknown input disturbances. Adaptive control schemes are proposed for constant disturbances, sinusoidal disturbances, and generic bounded disturbances. The partial-state feedback control is designed based on measurable signals and the parameterization method to counteract the effect of disturbances.The plant-model output matching condition is established. The developed control law is more flexible for applications and has a more concise structure than output feedback control. Additionally, closed-loop stability and asymptotic output tracking are derived. The effectiveness and the feasibility of partial-state feedback disturbance rejection control are verified by simulation results.

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